A discrete variational principle for rate-independent evolution

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume1295
dc.contributor.authorMielke, Alexander
dc.contributor.authorStefanelli, Ulisse
dc.date.accessioned2016-03-24T17:38:20Z
dc.date.available2019-06-28T08:02:58Z
dc.date.issued2008
dc.description.abstractWe develop a global-in-time variational approach to the time-discretization of rate-independent processes. In particular, we investigate a discrete version of the variational principle based on the weighted energy-dissipation functional introduced by A. Mielke and M. Ortiz in ESAIM Control Optim. Calc. Var., 2008. We prove the conditional convergence of time-discrete approximate minimizers to energetic solutions of the time-continuous problem. Moreover, the convergence result is combined with approximation and relaxation. For a fixed partition the functional is shown to have an asymptotic development by Gamma convergence, cf. G. Anzellotti and S. Baldo (Appl. Math. Optim., 1993), in the limit of vanishing viscosity.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.urihttps://doi.org/10.34657/1818
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/1952
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subjectVariational Principleeng
dc.subjectrate-independent processeng
dc.subjecttime-discretizationeng
dc.subject.ddc510eng
dc.titleA discrete variational principle for rate-independent evolutioneng
dc.typereporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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